10010011001001 has 16 divisors (see below), whose sum is σ = 14560075653888. Its totient is φ = 6066648478800.

The previous prime is 10010011000967. The next prime is 10010011001071.

10010011001001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10010011001001 is a prime.

It is a super-2 number, since 2×10010011001001² (a number of 27 digits) contains 22 as substring.

10010011001001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (10010011001071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10556466 + ... + 11465556.

It is an arithmetic number, because the mean of its divisors is an integer number (910004728368).

Almost surely, 2^{10010011001001} is an apocalyptic number.

10010011001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010011001001 is a deficient number, since it is larger than the sum of its proper divisors (4550064652887).

10010011001001 is a wasteful number, since it uses less digits than its factorization.

10010011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242772.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 1001001 and 1001001, that added together give a palindrome (2002002).

The spelling of 10010011001001 in words is "ten trillion, ten billion, eleven million, one thousand, one".